Prime p₀= 838321362875233967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 22 2 16 2 10 2 16 2 (?)
a_n: 0 2 72 74 90 92 114 116 132 134 144 146 162 164
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 164
Found by: RFGuy_KCCO
db: batch=73, k=14, 70 16 22 16 10 16

SPT(13)	838320761044918169	0 12 18 42 72 78 120 162 168 198 222 228 240	-601830315798
SPT(16)	838320794885105963	0 14 30 48 56 104 114 134 390 410 420 468 476 494 510 524	-567990128004
SPT(16)	838320952963385263	0 4 28 40 78 88 120 124 150 154 186 196 234 246 270 274	-409911848704
SPT(16)	838321062053054183	0 60 104 120 146 200 230 240 260 270 300 354 380 396 440 500	-300822179784
SPT(16)	838321116161676541	0 10 58 162 172 190 228 252 346 370 408 426 436 540 588 598	-246713557426
STPT(10)	838321184846520041	0 2 6 8 18 20 30 32 36 38	-178028713926
STPT(10)	838321370866438409	0 2 18 20 30 32 42 44 60 62	7991204442
SPT(16)	838321661507847943	0 18 40 48 60 70 76 108 118 150 156 166 178 186 208 226	298632613976
SPT(16)	838321704059483873	0 8 36 38 48 74 116 138 146 168 210 236 246 248 276 284	341184249906
SPT(16)	838321765433375383	0 10 18 76 94 130 154 168 226 240 264 300 318 376 384 394	402558141416
TPT(14)	838322030850154007	0 2 42 44 174 176 180 182 210 212 222 224 372 374	667974920040